Computational Mathematics and Modeling

, Volume 10, Issue 3, pp 255–266 | Cite as

Method of asymptotic perturbation of fundamental solution and electromagnetic waves in layered media

  • V. I. Selin
Mathematical Models of Electromagnetism


The method of asymptotic perturbation of the fundamental solution of the wave equation is applied to compute the rapidly oscillating integrals that arise in wave fields in layered media. The principal part is separated for one of the integrals determining the electromagnetic waves in a layer medium.


Mathematical Modeling Wave Equation Computational Mathematic Electromagnetic Wave Industrial Mathematic 
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  1. 1.
    A. N. Tikhonov and D. N. Shakhsuvarov, “A method for calculation of electromagnetic waves excited by alternating current in layered media,” Izv. AN SSSR, Geofizika, No. 3, 245–251 (1956).Google Scholar
  2. 2.
    V. I. Dmitriev, Electromagnetic Fields in Nonhomogeneous Media [in Russian], Izd. MGU, Moscow (1969).Google Scholar
  3. 3.
    A. N. Tikhonov, “Asymptotic behavior of integrals with Bessel functions,” Dokl. Akad. Nauk SSSR,125, No. 5, 982–985 (1959).MATHMathSciNetGoogle Scholar
  4. 4.
    V. I. Dmitriev, O. A. Skugarevskaya, and E. A. Fedorova, “High-frequency asymptotic behavior of the electromagnetic field in a layered medium,” Fiz. Zemli, No. 2, 44–51 (1972).Google Scholar
  5. 5.
    V. I. Dmitriev and E. A. Fedorova, “Numerical analysis of the vertical dipole field in a layered dielectric medium,” in: Electromagnetic Sounding of the Earth and the Moon [in Russian], MGU, Moscow (1975), pp. 14–22.Google Scholar
  6. 6.
    V. I. Selin, “Evaluation of integrals containing Bessel functions,” Integral'nye Preobrazovaniya i Spetsial'nye Funktsii,1, No. 2, 19–22 (1997).Google Scholar

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© Kluwer Academic/Plenum Publishers 1999

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  • V. I. Selin

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